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Finding the Third Proportional to 778,193 and 1,704,008

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Solution

The third proportional to 778,193 and 1,704,008 is: 3,731,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,193 : 1,704,008 = 1,704,008 : x
  2. Step 2: Convert to fraction form
    778,193/1,704,008 = 1,704,008/x
  3. Step 3: Cross multiply
    778,193x = 1,704,008 × 1,704,008
  4. Step 4: Simplify right side
    778,193x = 2,903,643,264,064
  5. Step 5: Solve for x
    x = 2,903,643,264,064/778,193
  6. Step 6: Final answer
    x = 3,731,263.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.